Write down the coordinates of the points that divide the segment MN into 4 equal parts if M (-5), N (11).

Let’s find the interval through which these points meet. To do this, add the modules of coordinates of two points of the segment M (-5) and N (11):

| -5 | + | 11 | = 16.

Now let’s divide 16 by 4:

16: 4 = 4.

Got an interval of three points in a segment.

Let’s compose a formula for each point:

– 5 + (4 * n)

or

11 – (4 * n).

where n is the number of points on the segment.

Let’s find the coordinates of the first point:

– 5 + (4 * 1) = – 1;

coordinates of the second point:

– 5 + (4 * 2) = 3;

coordinates of the third point:

– 5 + (4 * 3) = 7.

Or

11 – (4 * 1) = 7;

11 – (4 * 2) = 3;

11 – (4 * 3) = – 1.

Answer: – 1; 3; 7.